On two conditional forms of the equation ||f(x + y)|| = ||f(x) + f(y)||. (Summary).
On Two Functional Equations Connected with a Mean-Value Property of Polynomials
On Two Functional Equations Connected with a Mean-Value Property of Polynomials (Short Communication)
On two functional equations connected with the characterizations of the distance measures.
On two mean value properties and functional equations associated with them.
On two new functional equations for generalized Joukowski transformations
The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function of a complex variable z.
On two systems of difference equations.
On Uniqueness Theorems of Aczél and Cellular Internity of Miller (Short Communication)
On Uniqueness Theorems of Aczél and Cellular Internity of Miller
On unstable neutral difference equations with ``maxima''
On vanishing n-th ordered differences and Hamel bases
On weighted Hardy and Poincaré-type inequalities for differences.
On well-posedness of the nonlocal boundary value problem for parabolic difference equations.
On Wigner's theorem: Remarks, complements, comments, and corollaries.
On zeros of differences of meromorphic functions
Let f be a transcendental meromorphic function and and . A number of results are obtained concerning the exponents of convergence of the zeros of g(z), , g(z)/f(z), and .
On -invariant measures and a functional equation
On ω-convex functions
In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we try to obtain...
One case of appearance of positive solutions of delayed discrete equations
When mathematical models describing various processes are analysed, the fact of existence of a positive solution is often among the basic features. In this paper, a general delayed discrete equation is considered. Sufficient conditions concerning are formulated in order to guarantee the existence of a positive solution for . An upper estimate for it is given as well. The appearance of the positive solution takes its origin in the nature of the equation considered since the results hold only...
One-parameter system of functional equation. (Summary).
One-parameter system of functional equations.